**Reference:**

I. Necoara,
B. De Schutter,
T.J.J. van den Boom, and
J. Hellendoorn,
"Stable receding horizon control for max-plus-linear systems,"
*Proceedings of the 2006 American Control Conference*,
Minneapolis, Minnesota, pp. 4055-4060, June 2006.

**Abstract:**

We develop a stabilizing receding horizon control (RHC) scheme for the
class of discrete-event systems called max-pus-linear (MPL) systems.
MPL systems can be described by models that are "linear" in the
max-plus algebra, which has maximization and addition as basic
operations. In this paper we extend the concept of positively
invariant set from classical system theory to discrete-event MPL
systems. We define stability for the class of MPL systems in the sense
of Lyapunov. For a particular convex piecewise affine cost function
and linear input-state constraints the RHC optimization problem can be
recast as a linear program. Using a dual-mode approach we are able to
prove exponential stability of the RHC scheme. We derive also a
constrained time-optimal controller by solving a sequence of
parametric linear programs.

Corresponding technical report: pdf file (157 KB)

@inproceedings{NecDeS:05-016,

author={I. Necoara and B. {D}e Schutter and T.J.J. van den Boom and J. Hellendoorn},

title={Stable receding horizon control for max-plus-linear systems},

booktitle={Proceedings of the 2006 American Control Conference},

address={Minneapolis, Minnesota},

pages={4055--4060},

month=jun,

year={2006}

}

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